Global time estimates for solutions to equations of dissipative type

Mathematics – Analysis of PDEs

Scientific paper

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Journees "Equations aux Derivees Partielles"

Scientific paper

Global time estimates of Lp-Lq norms of solutions to general strictly
hyperbolic partial differential equations are considered. The case of special
interest in this paper are equations exhibiting the dissipative behaviour.
Results are applied to discuss time decay estimates for Fokker-Planck equations
and for wave type equations with negative mass.

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